Question

Which is the recursive formula for the explicitly defined sequence?
an = 8n-3

Answer 1

Answer :   $a_{n+1}=a_n+8$

Step-by-step explanation:

The given explicit formula : $a_n=8n-3$ , where n is a natural number.

At n=1 , $a_1=8-3=5$

At n=2, $a_2=8(2)-3=16-3=13$

At n=3 , $a_3=8(3)-3=24-3=21$

We can see the common difference is 8.

So we can write $a_{n+1}=a_n+8$

Hence, the recursive formula for the explicitly defined sequence is  $a_{n+1}=a_n+8$